Simplify:
6(2x²-5) = [?]
X=-3

Answer:

maybe answer c/3 or b/2

Step-by-step explanation:

Answer:A

Step-by-step explanation:

i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

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The volume using washers is:

V = ∫\([24, 0] \pi (24^2 - x^2) dx.\)

The volume using shells is:

V = ∫\([0, \sqrt{24} ] 2\pi x(24 - x^2) dx.\)

To find the volume of the solid obtained by rotating the region bounded by y = 24, \(y = x^2\), and x = 0 about the y-axis, we can use both the washer method and the shell method.

Volume using washers:

In the washer method, we consider an infinitesimally thin vertical strip of thickness Δy and width x. The volume of each washer is given by the formula:

\(dV = \pi (R^2 - r^2)dy,\)

where R is the outer radius of the washer and r is the inner radius of the washer.

To find the volume using washers, we integrate the formula over the range of y-values that define the region. In this case, the y-values range from \(y = x^2\) to y = 24.

The outer radius R is given by R = 24, which is the distance from the y-axis to the line y = 24.

The inner radius r is given by r = x, which is the distance from the y-axis to the parabola \(y = x^2\).

Therefore, the volume using washers is:

V = ∫\([24, 0] \pi (24^2 - x^2) dx.\)

Volume using shells:

In the shell method, we consider an infinitesimally thin vertical strip of height Δx and radius x. The volume of each shell is given by the formula:

dV = 2πrhΔx,

where r is the radius of the shell and h is the height of the shell.

To find the volume using shells, we integrate the formula over the range of x-values that define the region. In this case, the x-values range from x = 0 to \(x = \sqrt{24}\), since the parabola \(y = x^2\) intersects the line y = 24 at \(x = \sqrt{24}\)

The radius r is given by r = x, which is the distance from the y-axis to the curve \(y = x^2.\)

The height h is given by \(h = 24 - x^2\), which is the distance from the line y = 24 to the curve \(y = x^2\).

Therefore, the volume using shells is:

V = ∫\([0, √24] 2\pi x(24 - x^2) dx.\)

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( 0, -4 ) is the vertex of the parabola

The scale factor used in the dilation is 3

From the question, we have the following parameters that can be used in our computation:

Image = 9

Pre-image = 3

The scale factor is calculated as

Scale factor  = Image/Pre-Image

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = 9/3

Evaluate

Scale factor  = 3

Hence, the scale factor is 3

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Answer:

492 *100/625 =80 %

Step-by-step explanation:

Where [*]= Multiply

Answer:

Step-by-step explanation:

\(D=\frac{\theta}{360} \times2\times\pi \times r\)

\(D=\frac{60}{360} \times2\times\pi \times 42\)

    \(=\frac{1}{6} \times84\times\pi\)

    \(=12\pi cm^2\)

Answer:

x=3/4

Step-by-step explanation:

3 ^2x+1=3x+5

6x+1 -3x-5=0

3x-4=0

3x=4

x=3/4

Answer:

\(4.5x+15\)

Step-by-step explanation:

Equilateral triangles have three equal sides.

\(1.5x+5+1.5x+5+1.5x+5\)

\(1.5x+1.5x+1.5x+5+5+5\)

\(=4.5x+15\)

Answer:

4.5x+15

Step-by-step explanation:

Hope this helps!

Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

The value of the angle x is equal to 53°

A) From the image attached, we can solve for the angles as follows;

m ∠RPB = 180 - 115 = 65°

Thus, the angle m∠x =  180° - 65° - 62°

= 53°

B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

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Answer:

49

Step-by-step explanation:

Complementary angles always add up to 90 degrees, so make and equation. First, say that angle ABC and angle QRS add up to ninety degrees. Substitute the values to get 41 degrees plus angle QRS equals 90 degrees, and once you subtract 41 from both sides, you get angle QRS equals 49 degrees.

Hope this helps. :)

The QRS is 49

We know that

The complementary angles are those whose sum is 90 degrees

So,

x + 41 = 90

x = 49

So, QRS = 49

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Answer:

x = 10.25

Step-by-step explanation:

congruent angles are equal , then

18x - 34 = 10x + 48 ( subtract 10x from both sides )

8x - 34 = 48 ( add 34 to both sides )

8x = 82 ( divide both sides by 8 )

x = 10.25

Answer:

9

-5 - 7(-2)

-5 - (-14)

+9

Once you have found the area of each shape, you can add them up to get the total area of the composite figure.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

To decompose a composite figure into simpler shapes, you need to identify the individual shapes that make up the figure, and then find their areas.

Here are two examples of decomposing composite figures:

1. Decomposing a composite figure into a circle, three rectangles, and a triangle:

To decompose this figure, you can see that it consists of a circle and three rectangles (one on the left, one on the right, and one on the bottom), and a triangle (on the top). You can find the area of each shape separately, and then add them up to get the total area of the composite figure.

The area of the circle is πr², where r is the radius of the circle.

The area of each rectangle is length x width.

The area of the triangle is 1/2 x base x height.

Once you have found the area of each shape, you can add them up to get the total area of the composite figure.

2. Decomposing a composite figure into a circle, a trapezoid, and four triangles:

To decompose this figure, you can see that it consists of a circle, a trapezoid (the top and bottom of the figure), and four triangles (two on each side). You can find the area of each shape separately, and then add them up to get the total area of the composite figure.

The area of the circle is πr², where r is the radius of the circle.

The area of the trapezoid is 1/2 x height x (base1 + base2), where base1 and base2 are the lengths of the top and bottom of the trapezoid, and height is the height of the trapezoid.

The area of each triangle is 1/2 x base x height.

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9514 1404 393

Answer:

  C

Step-by-step explanation:

The ellipse y-intercepts are ±3, the x-intercepts are ±9, eliminating choices A and B. The parabola is shaded inside, eliminating choice D.

The correct choice is the third one.

The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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Answer:

Both true

Lelelelellele

Given that,ℝ2 → ℝ2 is a linear transformation such that ([1 0])=[7 −3], ([0 1])=[3 0].

To find the standard matrix of the linear transformation, let's first understand the standard matrix concept: Standard matrix:

A matrix that is used to transform the initial matrix or vector into a new matrix or vector after a linear transformation is called a standard matrix.

The number of columns in the standard matrix depends on the number of columns in the initial matrix, and the number of rows depends on the number of rows in the new matrix.

So, the standard matrix of the linear transformation is given by: [7 −3][3  0]

Hence, the required standard matrix of the linear transformation is[7 −3][3 0].

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Answer:

25 minutes

Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes

Answer:

25 minutes

Step-by-step explanation:

→You can set this problem up as a proportion, like so:

\(\frac{8}{10} =\frac{20}{x}\)

→Cross multiply:

\(\frac{8x}{200}\)

→Divide 200 by 8:

x = 25

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

DIscount = 121/2 % 0ff

Answer:

One solution: \((-8,1)\)

No solution

One solution: \((1,3)\)

Infinitely many solutions

Step-by-step explanation:

If the graphs intersect at one point, the solution is the point of intersection.

If the graphs are parallel, there is no solution.

If the graphs are identical, there are infinitely many solutions.

Answer: I use clickcaculators.com ;)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf A = 78.5\ ft\²}\)

Step-by-step explanation:

Circumference = C = 31.4 ft

We know that,

Where, r is the radius

31.4 = 2(3.14)r

31.4 = 6.28(r)

Divide 6.28 to both sides

31.4/6.28 = r

5 ft. = r

Now,

A = πr²

A = (3.14)(5)²

A = (3.14)(25)

\(\rule[225]{225}{2}\)

Descriptive statistics. The process of retrieving information (summarizing) data is called descriptive statistics.

Descriptive statistics involves the collection, organization, presentation, and summary of data in order to provide meaningful information about a dataset. It includes techniques such as measures of central tendency (mean, median, mode), measures of variability (range, standard deviation), and graphical representations (histograms, bar charts, scatter plots) to describe and summarize the data. Descriptive statistics aim to provide a concise and clear understanding of the main characteristics and patterns present in the data.

Unlike descriptive statistics, which focuses on summarizing and describing the available data, predictive statistics (also known as inferential statistics) involves making inferences and predictions about a population based on a sample of data. It uses statistical models and techniques to estimate unknown parameters, test hypotheses, and make predictions or generalizations about the larger population. Therefore, the process of retrieving information (summarizing) data is specifically referred to as descriptive statistics.

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If you could take a 15-week, three-credit college course, which requires 10 hours which requires 10 hours per week of your time for 620 per credit hour. The net cost of the class compared to working.

a. Net cost:

Net cost = Cost for the credit hours + Money you could have earned with the job

Let plug in the formula

Net cost  = ( 3 × $620 per credit hour) + ( $8 per hour ×  10 hours per week  × 15 week)

Net cost  =  $1,860 +  $1,200

Net cost  =  $3,060

b. My opinion is that the college course is a worthwhile experience based on the fact that  average college graduate earns  more than a high school graduate.

Therefore the net cost is $3,060.

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